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Finding the Fourth Proportional to 597.99, 896.99 and 165.14

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Solution

The fourth proportional to 597.99, 896.99 and 165.14 is: 247.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.99 : 896.99 = 165.14 : x
  2. Step 2: Convert to fraction form
    597.99/896.99 = 165.14/x
  3. Step 3: Cross multiply
    597.99x = 896.99 × 165.14
  4. Step 4: Simplify right side
    597.99x = 148,123.62
  5. Step 5: Solve for x
    x = 148,123.62/597.99
  6. Step 6: Final answer
    x = 247.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.